Mean and weak convergence of Fourier-Bessel series

  1. Guadalupe, J.J. 1
  2. Perez, M. 2
  3. Ruiz, F.J. 2
  4. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Aldizkaria:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Argitalpen urtea: 1993

Alea: 173

Zenbakia: 2

Orrialdeak: 370-389

Mota: Artikulua

DOI: 10.1006/JMAA.1993.1073 SCOPUS: 2-s2.0-0013108512 WoS: WOS:A1993KU93300004 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Journal of Mathematical Analysis and Applications

Gordailu instituzionala: lock_openSarbide irekia Editor lock_openSarbide irekia Postprint

Laburpena

We study the uniform boundedness on some weighted L p spaces of the partial sum operators associated to Fourier-Bessel series, obtaining necessary and sufficient conditions for this boundedness in terms of the weights. On the other hand, we study the weak and restricted weak type of the partial sum operators in the end points of the interval of strong boundedness. © 1993 Academic Press. All rights reserved.